document.write( "Question 1010177: if log(2 ,256)= x+y and log(3 ,81)= x-y, then what is the value of x and y \n" ); document.write( "
Algebra.Com's Answer #625647 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"log%282+%2C%28256%29%29=+x%2By\"
\n" ); document.write( "\"log%283+%2C%2881%29%29=+x-y\"\r
\n" ); document.write( "\n" ); document.write( "\"log%282+%2C%28256%29%29=+x%2By\"........\"256=2%5E8\"\r
\n" ); document.write( "\n" ); document.write( "\"log%282+%2C%282%5E8%29%29=+x%2By\"\r
\n" ); document.write( "\n" ); document.write( "\"8log%282+%2C%282%29%29=+x%2By\"....since \"log%282+%2C%282%29%29=1\", we have\r
\n" ); document.write( "\n" ); document.write( "\"8%2A1=+x%2By\"\r
\n" ); document.write( "\n" ); document.write( "\"8=+x%2By\"........eq.1\r
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\n" ); document.write( "\n" ); document.write( "\"log%283+%2C%2881%29%29=+x-y\"\r
\n" ); document.write( "\n" ); document.write( "\"log%283+%2C%283%5E4%29%29=+x-y\"\r
\n" ); document.write( "\n" ); document.write( "\"4log%283+%2C%283%29%29=+x-y\"\r
\n" ); document.write( "\n" ); document.write( "\"4%2A1=+x-y\"\r
\n" ); document.write( "\n" ); document.write( "\"4=+x-y\".................eq.2\r
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\n" ); document.write( "\n" ); document.write( "solve the system:\r
\n" ); document.write( "\n" ); document.write( "\"8=+x%2By\"........eq.1
\n" ); document.write( "\"4=+x-y\".................eq.2
\n" ); document.write( "--------------------------------------add both eq.1 and eq.2\r
\n" ); document.write( "\n" ); document.write( "\"8%2B4=+x%2By%2Bx-y\"\r
\n" ); document.write( "\n" ); document.write( "\"12=+x%2Bcross%28y%29%2Bx-cross%28y%29\"\r
\n" ); document.write( "\n" ); document.write( "\"12=+2x\"\r
\n" ); document.write( "\n" ); document.write( "\"x=12%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=6%29\"\r
\n" ); document.write( "\n" ); document.write( "go to \"8=+x%2By\"........eq.1, substitute \"6\" for \"x\" and solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"8=+6%2By\"\r
\n" ); document.write( "\n" ); document.write( "\"8-6=y\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28y=2%29\"\r
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